272733312 has 128 divisors (see below), whose sum is σ = 786542400. Its totient is φ = 83394560.

The previous prime is 272733311. The next prime is 272733317. The reversal of 272733312 is 213337272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 272733312.

It is not an unprimeable number, because it can be changed into a prime (272733311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267139 + ... + 268157.

Almost surely, 2^272733312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272733312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393271200).

272733312 is an abundant number, since it is smaller than the sum of its proper divisors (513809088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272733312 is a wasteful number, since it uses less digits than its factorization.

272733312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1082 counting only the distinct ones).

The product of its digits is 10584, while the sum is 30.

The square root of 272733312 is about 16514.6393239453. The cubic root of 272733312 is about 648.5041040023.

The spelling of 272733312 in words is "two hundred seventy-two million, seven hundred thirty-three thousand, three hundred twelve".